An iPhone costs 7 times as much as an AirPods. Together they cost $1,200. Find the price of the laptop and iPod.

Answer:

Account B earns more interest.

After 20 years, account B will have earned $171.89 more.

Step-by-step explanation:

Let's calculate the total for each account.

Account A:

Account A earns simple interest. We know that the principal value is $2000 and the interest rate is 2% or 0.02. We can use the simple interest formula:

[tex]A=P(1+rt)[/tex]

Where A is the future value, P is the principal, r is the rate, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, and 20 for t. This yields:

[tex]A=2000(1+0.02(20))[/tex]

Multiply and add:

[tex]A=2000(1+0.4)=2000(1.4)[/tex]

Multiply. So, the total amount of money in Account A after 20 years is:

[tex]A=\$2800[/tex]

Since we initially deposited $2000 and our total is now $2800, this means that we earned an interest of [tex]2800-2000=\$ 800[/tex]

Account B:

Account B earns compound interest. Like Account A, Account B has a principal value of $2000 and the interest rate is 2% or 0.02. We also know that it's compounded annually, so once per year. We can use the compound interest formula:

[tex]B=P(1+\frac{r}{n}})^{nt}[/tex]

Where B is the future value, P is the principal, r is the rate, n is the times compounded per year, and t is the time in years.

So, let's substitute 2000 for P, 0.02 for r, n for 1 (since it's compounded annually), and t for 20. This yields:

[tex]B=2000(1+\frac{0.02}{1})^{(1)(20)}[/tex]

Simplify this to acquire:

[tex]B=2000(1.02)^{20}[/tex]

Evaluate. Use a calculator. So, after 20 years, the amount of money in Account B is:

[tex]B\approx\$2971.89[/tex]

Since our principal was $2000, this means that we earned an interest of approximately  [tex]2971.89-2000=\$ 971.89[/tex].

So, Account A earned an interest of $800 and Account B earned an approximate interest of $971.89.

So, Account B earned more interest.

And it earned [tex]971.89-800=\$ 171.89[/tex] more than Account A.

And we're done!

Answer:

x=10[tex]\frac{4}{29}[/tex]

Step-by-step explanation:

Answer:

x=294/29

Step-by-step explanation:

u simplify and u get

3(2-x)-16(x-3/4)+48x=312

which is

29x+18=312

then u simplify it again

29x=294 which u get

x=294/29

Answer:

m<1=65°

Step-by-step explanation:

180-115=65°

It would also be 115 degrees because they are the same angle. :)

Answer: -36+16n

Step-by-step explanation: Hope this helps!

Answer: {x,y}={6,21}

Step-by-step explanation:

// Solve equation [2] for the variable  x

  [2]    3x = 18

  [2]    x = 6

// Plug this in for variable  x  in equation [1]

  [1]    2•(6) - y = -9

  [1]     - y = -21

// Solve equation [1] for the variable  y

  [1]    y = 21

// By now we know this much :

   x = 6

   y = 21

We are done

Answer:

y = 2x -6. A dependent system, so all numbers on this line.

Step-by-step explanation:

2x - y = 6

-3y = -6x + 18

In order to solve a system of equations, you want to get isolate y. One equation already has done that for us, so that makes it easier.

2x - y = 6

In order to isolate y in this equation, you must simply subtract 2x from both sides, which would give us:

-y = -2x + 6

Now, you can't leave y negative. Normally you'd divide the y by its variable, but this one doesn't have a variable. so you must divide both sides by -1.

[tex]\frac{-y}{-1} =\frac{-2x+6}{-1}[/tex]

We divide both sides because what you do to one side you must do to the other. This leaves us with the equation:

y = 2x - 6

Now, for the other equation. It's simple since y is already isolated.

-3y = -6x + 18

Once again we will be dividing both sides, but this time it's by -3.

[tex]\frac{-3y}{-3} =\frac{-6x+18}{-3}[/tex]

We are dividing by -3 instead of -1 because y in this equation has a variable of -3. This would give us:

y = 2x - 6

Now, normally in order to get the answer, you must graph both of these equations, but since these equations ended up being the same, the answer is every number that appears on the line. This is called a dependent system.

Answer:

She is correct. The remaining angle of the triangle measures less than 90 degrees

Step-by-step explanation:

Edgunity

Anna is correct. The remaining angle of the triangle measures less than 90 degrees.

Acute angles are angles that measures less than 90 degrees.  

Triangle DEF contains 2 congruent  acute angles. This means each of those 2 acute angles in the triangle are less than 90 degrees.

The sum of the measure of the two congruent acute angles is greater than 90 degrees.

Therefore,

let

∠D and ∠E be the acute angles.

∠D + ∠E > 90°

An acute-angled triangle is a type of triangle in which all the three internal angles of the triangle are acute, that is, they measure less than 90°.

The sum of angles of a triangle is 180 degrees.

Since ∠D + ∠E > 90°, then ∠F must be less than 90 degrees.

This simply means the triangle is an acute-angled triangle. Therefore,

Anna is correct.

learn more on acute angles here: https://brainly.com/question/1634742?referrer=searchResults

Answer:

Yes

Step-by-step explanation:

An irrational number can be written as a decimal, but not as a fraction. An irrational number has endless non-repeating digits to the right of the decimal point.

Answer:

yes

Step-by-step explanation:

Answer:

The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Answer:

A) The monthly salary of Shenika is less spread out than the monthly salary of Clarissa.

Step-by-step explanation:

I took the test on edge

Answer:

(0,0), (0,1), (1,2), (1,3)

Step-by-step explanation:

To determine what makes ordered pairs a function, we have to make sure each input (x) goes to exactly one output (y).

The reason this is the answer is that each input doesn't have exactly one output. (0 goes to 0 and 1. 1 goes to 2 and 3).

Answer:

18cm

Step-by-step explanation:

Find the image to the question attached.

From the ruler, we are to find the distance between R and S i.e RS

From the ruler, R is on 8 and S is on 26.

Initial point R = 8

Final point S = 26

Length of RS = Final point S - initial point R

RS = 26 - 8

RS = 18

Hence the length of RS is 18cm

Answer:

in 15 games, she will score 240 points

Answer:

No because  [tex]a^2 + b^2 = b^2 + a^2[/tex]

Step-by-step explanation:

No it does not matter if you were given a or b because with the equation a²+b²=c² as long as you can substitute in two values you can solve for the unknown value. For example if you had triangle STU having hypotenuse as 41 and value a as 9 you would substitute in the values resulting in the equation 9²+b²=41² then you would solve the exponents 81+b²=1681 then you would subtract 81 having the equation now as b²=1600 then you would √b²=√1600 resulting in

b=40

you could solve that equation the same way if you had b=40 and c=42

Step-by-step explanation:

8(b+1)=-3(2+b)

8b+8=-6-3b

8b +3b = -6-8

11b = -14

b = -14/11

Answer:

[tex]\frac{5}{3}[/tex]

Step-by-step explanation:

[tex]\frac{4}{z} = \frac{12}{5}[/tex]

4 (5) = z (12)

20 = z (12)

20 = 12z

z = [tex]\frac{5}{3}[/tex]

Answer: 5

Step-by-step explanation: you subtract 12.14 from 19.44 to get the amount of money he paid for the toppings alone which is 7.4. Then do 7.4/1.44 to get 5 toppings.

Answer:

The area of ABCF is 2 and 2 × AB = 4

The statement proves that the conjecture is false

Step-by-step explanation:

A conjecture is a proposition or conclusion that is presumed to be true or correct but which is based on incomplete details or information

Given the length of the sides of rectangle ABDE, we have;

Length AB = 2 units

Length DE = 2 units

The area of ABDE = 2 × 2 = 4 unit²

Therefore, the area of the rectangle ABDE is equal to 2 × the length of either AB or DE

However, the are of rectangle ABCF = 2 × 1 = 2 unit²

While the area of rectangle 2 × the length of side AB = 2 × 2 = 4 unit², which is not equal to the number of square units in the area of the rectangle.

Therefore;

The area of ABCF is 2 and 2 × AB = 4

The statement (above) proves that the conjecture is false.

Answer:

4.7 * 6.8 = 31.96

Step-by-step explanation:

Answer: c

Step-by-step explanation: divide 42.50 by 5 and then divide your answer (8.3) to 153

Answer:

C. 18 Hours

Step-by-step explanation:

Given:

Total amount for investment = $32000

Rate of interest for Stock A = 4%

Rate of interest for Stock B = 7%

Jim is hoping to earn $2,000 in interest.

To find:

The amount of investments in Stock A and Stock B.

Step-by-step explanation:

Let amount of investments in Stock A = $x

Amount of investments in Stock B = $y

Total amount for investment = $32000

[tex]x+y=32000[/tex]        ...(i)

Rate of interests in Stock A and Stock B are 4% and 7%. Total interests is $2000.

[tex]0.04x+0.07y=2000[/tex]           ...(ii)

From (i) and (ii), we get

[tex]0.04x+0.07(32000-x)=2000[/tex]

[tex]0.04x+2240-0.07x=2000[/tex]

[tex]-0.03x=2000-2240[/tex]

[tex]-0.03x=-240[/tex]

Divide both sides by -0.03.

[tex]x=\dfrac{-240}{-0.03}[/tex]

[tex]x=8000[/tex]

Put x=8000 in (i).

[tex]8000+y=32000[/tex]  

[tex]y=32000-8000[/tex]  

[tex]y=24000[/tex]  

Therefore, the amount of investments in Stock A and Stock B are $8000 and $24000 respectively.

Answer:

Median is 28

Step-by-step explanation:

Median is 28 smallest value is 8

Answer:

Did they say what the a and b are worth

Step-by-step explanation:

Answer:

8a + 6b = 3

Step-by-step explanation:

Simplifying

8a + 6b = 3

Solving

8a + 6b = 3

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-6b' to each side of the equation.

8a + 6b + -6b = 3 + -6b

Combine like terms: 6b + -6b = 0

8a + 0 = 3 + -6b

8a = 3 + -6b

Divide each side by '8'.

a = 0.375 + -0.75b

Simplifying

a = 0.375 + -0.75b

Answer:

14 and 15

Step-by-step explanation:

14.6628782986, this is the square root.

Answer:

f(4) = 8

f(6) = 10

Step-by-step explanation:

Step 1: Define

f(x) = x + 4

f(4) is x = 4

f(x) = 10

Step 2: Find f(4)

f(4) = 4 + 4

f(4) = 8

Step 3: Find f(x) = 10

10 = x + 4

x = 6

Answer:

She must use the ratio into 5.

Step-by-step explanation:

example- say the ratio is 2:3 so she must use 10:15 .

Answer:

Step-by-step explanation:

In this problem, we will determine the volume of the small cubes

and also we will determine the volume of the cube

given that

Each cube has sides of 2 inches.

the volume of the cube is =2^3= 2*2*2= 8inch^3

also,

The large box has sides of 10 inches.

the volume of the box is= 10^3=0*10*10= 1000inch^3

Find out how many cubes will fit in the box

1000/8=125cubes

There are 125 cubes in a box

Answer: To create a graph from an equation, evaluate the function at different coordinates. Use the input-output pairs to identify and plot points on the graph.

Step-by-step explanation: Finished the assignment.

The answers to incomplete blanks are -

In math, a graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things.

Given is to fill in the blanks and complete the statement below -

"To create a graph from an equation, evaluate the function at different _____ . Use the input-output pairs to identify and plot _______on the graph".

The given statement can be completed as follows -

To create a graph from an equation, evaluate the function at different values of input variable . Use the input-output pairs to identify and plot coordinate input-output points on the graph.

Therefore, the answers to incomplete blanks are -

To solve more questions on graphs, visit the link below-

https://brainly.com/question/13298277

#SPJ2

Answer:

$2.75

Step-by-step explanation:

Cause $8.25 divided by 3 equals $2.75

hope this helps!